Three black bodies are such that maximum intensity wavelength are in the ratio - m 1- - m 2- - m 3-1-151 - 2-71 - 2 Which of the following is true for the temperatures-A- T 1- T 2- T 3B- T 3- T 2- T 1C- T 3- T 1- T 2D- T 1- T 3- T 2

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Blackbody Radiation

Three black b...

Question

Three black bodies are such that maximum intensity wavelength are in the ratio $λ_{m 1} : λ_{m 2} : λ_{m 3} = 1 : (15)^{1 / 2} : (7)^{1 / 2}$ .
Which of the following is true for the temperatures?

T_{1} > T_{3} > T_{2}

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T_{1} > T_{2} > T_{3}

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T_{3} > T_{2} > T_{1}

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T_{3} > T_{1} > T_{2}

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Solution

The correct option is A $T_{1} > T_{3} > T_{2}$
The wavelength of maximum intensity radiation decreases with increase in the temperature
$λ_{m 1} : λ_{m 2} : λ_{m 3} = 1 : (15)^{1 / 2} : (7)^{1 / 2}$ so $λ_{m 2} > λ_{m 3} > λ_{m 1}$
thus $T_{1} > T_{3} > T_{2}$

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Three black bodies are such that maximum intensity wavelength are in the ratio λm1:λm2:λm3=1:(15)1/2:(7)1/2. Which of the following is true for the temperatures?

The correct option is A T1>T3>T2The wavelength of maximum intensity radiation decreases with increase in the temperature λm1:λm2:λm3=1:(15)1/2:(7)1/2 so λm2>λm3>λm1 thus T1>T3>T2

Three black bodies are such that maximum intensity wavelength are in the ratio $λ_{m 1} : λ_{m 2} : λ_{m 3} = 1 : (15)^{1 / 2} : (7)^{1 / 2}$ .
Which of the following is true for the temperatures?

The correct option is A $T_{1} > T_{3} > T_{2}$
The wavelength of maximum intensity radiation decreases with increase in the temperature
$λ_{m 1} : λ_{m 2} : λ_{m 3} = 1 : (15)^{1 / 2} : (7)^{1 / 2}$ so $λ_{m 2} > λ_{m 3} > λ_{m 1}$
thus $T_{1} > T_{3} > T_{2}$